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COURSE                               EMT 421 ENGINEERING MATHEMATICS VIII

 

YEAR/SEMESTER               Year 4, Semester II

 

CONTACT HOURS            60 hours (45 hrs. lecture, 15 hrs. tutorial)

                                                Credit Hours = 4

 

 

PURPOSE OF THE COURSE

 

This course is designed is to enable the student to develop an understanding of Numerical Methods of Approximation especially with regards to Interpolation and numerical solutions to Differential Equations. It also introduces Optimization to the student. 

 

ASSESSMENT

 

Assessment will be by Coursework and Final Examination. Coursework will comprise assignments, tests, quizzes, etc.  The Final Examination will be a single three-hour paper.

 

The weighting of Coursework and Final Examination will be:

 

                                                                Coursework         = 50%

                                                                Final exam            = 50%

 

COURSE CONTENT

 

Numerical Analysis

 

Solution of Differential Equations by Numerical Methods- Taylor series method , Runge Kutta method , Adam Bashforth method, Milne's method.  Interpolation - Polynomial Interpolation, Cubic Spline Interpolation.

 

Optimization

Linear Programming. The Simplex Method. The Transportation Problem. The Transshipment Problem. The Assignment Problem. Integer Programming. Knapsack problems. Facility Layout problems. Network Analysis - The Shortest Path Problem. The Minimal Spanning Tree Problem. The Maximal Flow Problem.

 

RECOMMENDED TEXT

 

Kreysig  Advanced Engineering Mathematics


SOFTWARE

Students will be asked to download the optimization software LINGO from www.lindo.com. Matlab and Excel will be used for assignments on numerical methods.